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3 years ago

PR and PS are tangent to center Q. Find the measurement of angle Q

Mathematics

1 answer:

iVinArrow [24]3 years ago

8 0

Segment PQ bisects the angle P, which means angle QPR has a measure of 21 degrees (which follows from the fact that triangles PQR and PQS are congruent and PR and PS are tangent to the circle).

This then means angle RQP has measure 90 - 21 = 69 degrees.

Angle Q is twice this, so it has measure 138 degrees.

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Information about the five planets

mario62 [17]

Answer:

Mercury is the smallest and innermost planet in the Solar System. Its orbit around the Sun takes 87.97 days, the shortest of all the planets in the Solar System. It is named after the Roman deity Mercury, the messenger of the gods

Venus is the second planet from the Sun. It is named after the Roman goddess of love and beauty. As the second-brightest natural object in the night sky after the Moon, Venus can cast shadows and can be, on rare occasion, visible to the naked eye in broad daylight.

Jupiter is the fifth planet from the Sun and the largest in the Solar System. It is a gas giant with a mass one-thousandth that of the Sun, but two-and-a-half times that of all the other planets in the Solar System combined.

Saturn is the sixth planet from the Sun and the second-largest in the Solar System, after Jupiter. It is a gas giant with an average radius of about nine times that of Earth. It only has one-eighth the average density of Earth; however, with its larger volume, Saturn is over 95 times more massive.

Neptune is the eighth and farthest known planet from the Sun in the Solar System. In the Solar System, it is the fourth-largest planet by diameter, the third-most-massive planet, and the densest giant planet. Neptune is 17 times the mass of Earth, slightly more massive than its near-twin Uranus.

3 0

3 years ago

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Math question down below

lozanna [386]

Answer:

315

Step-by-step explanation:

42 is 84 percent of 50. If you apply this to 375, you get 315 because 84 percent of 375 is 315

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3 years ago

Robert makes 50 litres of green paint by mixing litres of yellow paint and litres of blue paint in the ratio 2:3.

podryga [215]

Answer:

Explanation:

1. Cost of each liter of yellow paint:

Yellow paint is sold in 5 litre tins and ach tin costs £26, thus the cost of one liter is £26 / 5 liters = £5.2 per liter.

2. Cost of each liter of blue paint:

Blue paint is sold in 10 litre tins and each tin costs £48, thus the cost of one liter of blue paint is £48 / 10 liters = £4.8 per liter

3. Cost of each liter of green paint.

Green paint is made by mixing yellow paint and blue paint in the ratio 2:3

Thus, 5 liters of green paint will cost:

2 liters yellow paint: 2 liter × £5.2 / liter = £10.4

3 liters blue paint: 3 liter × £4.8 / liter = £14.4

========== ========

5 liters green paint: 5 liter £24.8

Cost of one liter of gree paint: £24.8 / 5 liter = £4.96 / liter

4. Profit

Price of each liter of green paint: £66.96 / 10 liters = £6.696 / liter = £6.70 / liter

Profit per liter = price per liter - cost per liter = £6.70/liter - £4.96 / liter = £1.74 / liter

Percentage profit = profit per liter / cost per liter × 100

Percentage profit = (£1.74 / liter) / (£4.96/liter) × 100 = 35.08% = 35%

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3 years ago

17. Tonya's mother is 1.5 times as tall as

andrew-mc [135]

The question is incomplete:

17. Tonya's mother is 1.5 times as tall as Tonya was when she was 6. How tall is Tonya's mother? Use the correct number of significant digits.

The image with the information about Tonya's height is attached.

Answer:

68 in.

Step-by-step explanation:

According to the information given, you can write the following expression:

x=1.5y

x=Tonya's mother height

y= Tony's height when she was 6

Also, you know from the table that Tonya's height when she was 6 was 45 in. and you can replace this value in the formula:

x=1.5*45

x=67.5

Because of this, the answer is that Tonya's mother height is 68 in.

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3 years ago

You want to know how many cups of birdseed are in each new bag. Which situation about Hayley’s birdseed best represents the equa

allochka39001 [22]

The answer is D. The +1 refers to the extra cup leftover from a previous bag. X represents how many cups are in each bag, and that is what you need to know. The three represents how many bags she bought, and the 25 represents how many cups of birdseed she had overall.

Hopefully this helps!

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3 years ago

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